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Finding the Fourth Proportional to 2,782.04, 4,173.06 and 933.16

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Solution

The fourth proportional to 2,782.04, 4,173.06 and 933.16 is: 1,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.04 : 4,173.06 = 933.16 : x
  2. Step 2: Convert to fraction form
    2,782.04/4,173.06 = 933.16/x
  3. Step 3: Cross multiply
    2,782.04x = 4,173.06 × 933.16
  4. Step 4: Simplify right side
    2,782.04x = 3,894,128.00
  5. Step 5: Solve for x
    x = 3,894,128.00/2,782.04
  6. Step 6: Final answer
    x = 1,399.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.